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Finding the Fourth Proportional to 405,604.11, 608,359.68 and 106,113.59

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Solution

The fourth proportional to 405,604.11, 608,359.68 and 106,113.59 is: 159,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,604.11 : 608,359.68 = 106,113.59 : x
  2. Step 2: Convert to fraction form
    405,604.11/608,359.68 = 106,113.59/x
  3. Step 3: Cross multiply
    405,604.11x = 608,359.68 × 106,113.59
  4. Step 4: Simplify right side
    405,604.11x = 64,555,226,083.68
  5. Step 5: Solve for x
    x = 64,555,226,083.68/405,604.11
  6. Step 6: Final answer
    x = 159,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.